| 次临界增长P-调和组的处处内部正则性 |
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| 引用本文： | 郑神州章腊萍. 次临界增长P-调和组的处处内部正则性[J]. 数学学报, 2008, 51(5): 1001-101 |
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| 作者姓名： | 郑神州章腊萍 |
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| 作者单位： | 北方交通大学数学系 |
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| 摘 要： | 对于低阶梯度项满足次临界增长的p-调和型方程组,本文建立了其弱解梯度具有处处内部H■lder连续性的正则性结果,本文结论就低阶项的增长指标来说已经达到最佳.
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| 关 键 词： | p-调和型方程组 次临界增长 Morrey-Campanato空间 |
| 收稿时间： | 2007-02-02 |
| 修稿时间： | 2008-04-08 |
Everywhere Interior Regularity for $P$-Harmonic Form Systems with the Subcritical Growth |
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| Affiliation: | Department of Mathematics, Northern JiaotongUniversity, Beijing $100044,$ P. R. ChinaDepartment of Mathematics, Northern JiaotongUniversity, Beijing $100044,$ P. R. China |
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| Abstract: | We shallestablish that the derivatives of weak solutions for $P$-Harmonicsystems under the subcritical growth belong to everywhere interiorH"older continuity spaces with some H"older exponent. Thisconclusion is the best situation as for the lower order items withthe subcritical growth index. |
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| Keywords: | P-Harmonic form systems the subcritical growth Morrey-Campanato's spaces |
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